On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space-Reference-Cited by-同舟云学术

On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space

Published:2023-07-20 Issue:7 Volume:7 Page:560
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Dida Ridha¹,Boulares Hamid²,Moumen Abdelkader³^ORCID,Alzabut Jehad⁴⁵^ORCID,Bouye Mohamed⁶,Laskri Yamina⁷

Affiliation:

1. Depatement of Mathematics, Faculty of Sciences, University Badji Mokhtar Annaba, P.O. Box 12, Annaba 23000, Algeria

2. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria

3. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

5. Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Turkey

6. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

7. Department of Mathematics, Higher School of Industrial Technologies, P.O. Box 218, Annaba 23000, Algeria

Abstract

This work investigates a weighted Banach space second order pantograph fractional differential equation. The considered equation is of second order, expressed in terms of the Caputo–Hadamard fractional operator, and constructed in a general manner to accommodate many specific situations. The asymptotic stability of the main equation’s trivial solution has been given. The primary theorem was demonstrated in a unique manner by employing the Krasnoselskii’s fixed point theorem. We provide a concrete example that supports the theoretical findings.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/560/pdf

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